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Finding the Fourth Proportional to 266.31, 397.55 and 227.57

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Solution

The fourth proportional to 266.31, 397.55 and 227.57 is: 339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.31 : 397.55 = 227.57 : x
  2. Step 2: Convert to fraction form
    266.31/397.55 = 227.57/x
  3. Step 3: Cross multiply
    266.31x = 397.55 × 227.57
  4. Step 4: Simplify right side
    266.31x = 90,469.03
  5. Step 5: Solve for x
    x = 90,469.03/266.31
  6. Step 6: Final answer
    x = 339.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.